Size Uniformity of CsPbBr3 Perovskite Quantum Dots via Manganese-Doping

The achievement of size uniformity and monodispersity in perovskite quantum dots (QDs) requires the implementation of precise temperature control and the establishment of optimal reaction conditions. Nevertheless, the accurate control of a range of reaction variables represents a considerable challenge. This study addresses the aforementioned challenge by employing manganese (Mn) doping to achieve size uniformity in CsPbBr3 perovskite QDs without the necessity for the precise control of the reaction conditions. By optimizing the Mn:Pb ratio, it is possible to successfully dope CsPbBr3 QDs with the appropriate concentrations of Mn²⁺ and achieve a uniform size distribution. The spectroscopic measurements on single QDs indicate that the appropriate Mn²⁺ concentrations can result in a narrower spectral linewidth, a longer photoluminescence (PL) lifetime, and a reduced biexciton Auger recombination rate, thus positively affecting the PL properties. This study not only simplifies the size control of perovskite QDs but also demonstrates the potential of Mn-doped CsPbBr3 QDs for narrow-linewidth light-emitting diode applications.


Introduction
Cesium lead halide (CsPbX 3 , where X = Cl, Br, or I) perovskite quantum dots (QDs) display a range of advantageous properties, including high photoluminescence (PL) quantum yields, tunable PL spectra, high defect tolerance, and large carrier diffusion lengths [1][2][3][4].These excellent properties have led to CsPbX 3 perovskite QDs having considerable potential in a wide range of applications, including light-emitting diodes (LEDs) [5,6], photovoltaics [7], lasers [8,9], photodetectors [10,11], and quantum light sources [12].Nevertheless, the properties and applications of nanoscale perovskite QDs are strongly dependent on their size uniformity and monodispersity.As the sizes of the QDs are smaller than their Bohr diameters, the energy levels are quantized due to quantum confinement effects.As the size of the QD decreases, the confinement of the carriers becomes stronger, leading to an increase in the energy spacing between the discrete energy levels [13,14].Consequently, the optical and electronic properties of QDs are highly sensitive to their sizes.The nonuniformity of the size of QDs typically leads to the broadening of the PL spectra, which in turn affects the performance of QD-based devices [15][16][17][18].Consequently, size uniformity is of paramount importance in determining the performance, stability, and controllability of QD-based applications.This ensures consistency in optical, electronic, and assembly properties, thereby improving the functionality and reliability of devices in a range of fields.Nevertheless, the production of perovskite QDs with high size uniformity using colloidal methods remains a significant challenge.
A variety of synthesis methods and strategies have been employed to achieve size uniformity and monodispersity in perovskite QDs.For example, precursor stoichiometry control has been used to precisely tune precursor ratios to influence nucleation and growth kinetics, resulting in uniform perovskite QD sizes [19,20].The precise control of temperature and reaction time has been employed to regulate synthesis conditions, resulting in the formation of smaller, more uniform perovskite QDs [21,22].Furthermore, solvent engineering has been utilized to optimize solubility and growth kinetics, thereby improving size control [23,24].The use of ligands such as oleic acid or oleylamine in surfactant engineering has been employed to stabilize the perovskite QDs and enhance size uniformity [25,26].However, maintaining precise temperature control and appropriate reaction conditions can be challenging, resulting in variations in perovskite QD size and uniformity.
In this study, we demonstrate the successful achievement of the size uniformity and monodispersity of CsPbBr 3 perovskite QDs through the incorporation of manganese (Mn) doping.This method does not necessitate the precise control of various reaction conditions for the synthesis of CsPbBr 3 perovskite QDs.It has been demonstrated that Mn doping in perovskite QDs can stabilize the crystal structure, effectively reduce the defect density, and improve the lattice ordering [26].By optimizing the Mn:Pb ratio in the precursor, it was possible to successfully introduce appropriate concentrations of Mn 2+ into the CsPbBr 3 perovskite QDs.The introduction of Mn 2+ greatly optimizes the size distribution of CsPbBr 3 perovskite QDs.Single QD spectroscopy measurements demonstrate that the incorporation of Mn 2+ at appropriate concentrations has a positive effect on the PL properties of CsPbBr 3 perovskite QDs.
In this study, CsPbBr 3 perovskite QDs were synthesized by suitably modifying the previously reported hot injection synthesis method [19].Stoichiometric mixtures of different ratios of PbBr 2 and MnBr 2 were used for the synthesis of Mn-doped CsPbBr 3 perovskite QDs with different doping concentrations.The Cs precursor solution was prepared by reacting 0.25 g of Cs 2 CO 3 powder with 0.9 mL of OA and 9 mL of ODE in a 50 mL threenecked flask.This reaction was conducted at 150 • C under a nitrogen (N 2 ) atmosphere.A separate solution was then prepared by mixing 75 mg of PbBr 2 , together with ZnBr 2 (acting as a Br − supplementation source) and MnBr 2 (acting as a dopant) with 5 mL of ODE, 2 mL of OA, and 2 mL of OAm in a separate 50 mL round-bottomed three-necked flask; the mass and molar ratios of PbBr 2 , MnBr 2 and ZnBr 2 at different doping concentrations are given in Table S1.The aforementioned mixture was maintained at 120 • C under an N 2 atmosphere for one hour to ensure thorough mixing and solubilization.Once the requisite temperature was reached, 0.4 mL of the previously prepared Cs precursor solution was rapidly injected into the flask containing the PbBr 2 mixture.This injection initiated the nucleation and subsequent growth of the CsPbBr 3 perovskite QDs.To promptly terminate the reaction, the flask was immersed in an ice bath after 5 s.After the reaction, the CsPbBr 3 perovskite QDs were separated from the reaction mixture by high-speed centrifugation.Methyl acetate was used as an antisolvent to precipitate the perovskite QDs, which were then redispersed in hexane.Unreacted salts and impurities were removed as precipitates through centrifugation at 4000 rpm, and the supernatant, containing the dispersed perovskite QDs, was collected for further use.During the synthesis of the Mn-doped QDs, ZnBr 2 was used to maintain a constant total amount of Br − to ensure that the sizes of the QDs were not affected by the amount of Mn doping.ICP-MS analyses showed that the concentration of Zn 2+ was extremely low, which indicated that Zn 2+ was not effectively doped into the QDs [19].
For single QD measurements, the hexane solution of perovskite QDs was mixed with 1 wt.% polystyrene solution.The mixture was then spin-coated onto clean glass coverslips at 3000 rpm for one minute to form a polystyrene film to protect the perovskite QDs.The size of the perovskite QDs was measured from the TEM image using a JEM-2100 microscope (JEOL, Tokyo, Japan).The absorption, excitation, and PL emission spectra of the perovskite QDs in hexane were measured using a PerkinElmer Lambda 950 UV-VISNIR spectrometer (PerkinElmer, Hopkinton, MA, USA) and a Cary Eclipse Fluorescence Spectrophotometer (Agilent, Santa Clara, CA, USA), respectively.X-ray diffraction (XRD) patterns of the perovskite QDs were obtained using a D2 PHASER diffractometer (Bruker, Billerica, MA, USA).The elemental concentrations of Mn-doped perovskite QDs were determined using a NexION350 series inductively coupled plasma mass spectrometer (ICP-MS) (PerkinElmer, MA, USA).
A confocal fluorescence microscopy system was home-built to collect the PL photons emitted from single QDs [27,28].A pulsed laser emitting at 439 nm (EXW-12, NKT) with a pulse duration of 50 to 100 ps and a repetition rate of 5 MHz was used for excitation.The system incorporated an Olympus oil immersion objective with a high magnification of 100× and a numerical aperture (NA) of 1.3, which not only facilitated the precise focusing of the laser beam onto the QD samples but also efficiently collects the emitted PL photons.The collected PL photons were initially filtered through a dichroic mirror (Semrock, IDEX, Northbrook, IL, USA) and a long-pass filter (Semrock, IDEX, IL, USA) to eliminate any background noise that might otherwise interfere with the analysis.Subsequently, a spatial filtering step using a 100 µm pinhole was employed to reject out-of-focus photons, thereby ensuring that only the desired PL photons were processed.A 50/50 beam-splitter cube was then used to divide the filtered PL photons into two equal beams.Each beam was then detected by a highly sensitive single-photon avalanche diode detector (SPCM-AQR-15, PerkinElmer, MA, USA), which is capable of rapidly responding to individual photons.The detected signals were accurately recorded by a time-tagged, time-resolved (TTTR), time-correlated single-photon counting (TCSPC) data acquisition card (HydraHarp 400, PicoQuant, Berlin, Germany), which provides a temporal resolution of 1 ps.Of note, all measurements were conducted at room temperature in order to ensure reproducibility and comparability with other experiments.The described setup and procedures adhere to standard practices in fluorescence microscopy and single-photon detection, thus ensuring the reliability and accuracy of the data obtained for the investigation of the PL properties of perovskite QDs.

Results and Discussion
The synthesis of the Mn-doped CsPbBr 3 perovskite QDs was successfully accomplished using MnBr 2 as a dopant.The doping concentrations of the QDs were 4.7%, 20.4%, and 42.9%, with the undoped QDs serving as a control.The Mn 2+ concentration was accurately determined by inductively coupled plasma mass spectrometry (ICP-MS) analysis, as shown in Table S2.Taking the undoped and the 4.7% Mn-doped CsPbBr 3 perovskite QDs as examples, the solution PL quantum yield (QY) of the undoped QDs is about 80%, and the PLQY of the 4.7% doped QDs is about 70%.The transmission electron microscopy (TEM) images presented in Figure 1a,b illustrate the distinct morphological discrepancies between the undoped and the 4.7% Mn-doped perovskite QDs.Following the incorporation of 4.7% Mn doping, notable improvements in both the size distribution and morphology of the perovskite QDs were observed.In particular, these QDs exhibit a strikingly uniform size distribution, with a significant reduction in the full width at half maximum (FWHM) of the size distribution from 2 nm to 1.2 nm (Figure 1c,d), which highlights the high level of control over the size uniformity obtained by Mn doping.Furthermore, the original cubic morphology becomes more distinct and well-defined, indicating an improvement in crystallinity.The size narrowing can be attributed to the effective modulation of QD surface defects by Mn doping [26,29].Mn doping has the effect of reducing surface defects by increasing the defect formation energy while avoiding the introduction of deep traps into the band gap.The reduction in surface defects not only improves the short-range ordering of the lattice but also brings the local structural ordering closer to the ideal homogeneous state.At the same time, this optimization is reflected in the emission spectrum of the perovskite QDs, where the FWHM of the emission spectrum is significantly narrowed from 34.5 nm to 24.1 nm (Figure 1e), representing a 30.3% reduction as compared to the original width.This indicates a more homogeneous energy distribution and the improved optical properties of the doped perovskite QDs, which can be attributed to the profound effect of Mn doping in regulating and reducing surface defects on the QD surfaces.Conventionally, during the growth process of perovskite QDs, the presence of unpaired chemical bonds leads to the formation of surface defects with high free energy, acting as non-radiative recombination centers that deteriorate the optical performance.However, the introduction of Mn 2+ as a dopant effectively mitigates this issue by increasing the defect formation energy barrier, thereby suppressing the formation of such defects and avoiding the introduction of deep traps within the band gap.This mechanism not only enhances the short-range order of the crystal lattice but also brings the local structural order closer to an ideal state of uniformity, as evidenced by the improved optical properties [26,29].Furthermore, the substitution of Pb 2+ , which possesses a larger ionic radius, by the equivalent but smaller Mn 2+ , lead to a contraction of the lattice.This lattice contraction not only contributes to the observed reduction in the average edge length of the perovskite QDs from 6.41 nm to 6.08 nm (Figure 1c,d), but also affects the electronic structure.Specifically, the enhancement of the coordination field around Mn 2+ due to lattice contraction results in a narrowing of the band gap between the 4 T 1 and 6 A 1 energy levels of Mn 2+ , leading to a slight redshift in the position of the PL excitation and emission peaks (Figures 1e and S1) [30].This effect, coupled with the reduced surface defects, underscores the beneficial role of Mn doping in enhancing the optical properties of the perovskite QDs.Additionally, the monotonic shift of the peaks in the X-ray diffraction (XRD) patterns by 0.18 • toward higher angles (Figure 1f,g) provides further evidence of the lattice contraction induced by Mn doping.The XRD plots of perovskite QDs with different doping concentrations, along with comparisons to the standard phase, are provided in Supplementary Materials Figure S2.The observed improvements in energy distribution, optical properties, and structural order of the doped perovskite QDs provide compelling evidence that Mn doping effectively regulates and reduces surface defects, leading to enhanced performance.These findings not only validate the successful doping of the perovskite QDs but also highlight the potential of Mn 2+ as a powerful dopant for improving the properties of semiconductor nanomaterials.
As the doping concentration is increased from 4.7% to 20.4%, a slight blue shift in the absorption edge can be observed, accompanied by a corresponding shift in the PL peak from 496.6 nm to 486.6 nm.When the doping concentration exceeds 42.9%, the size distribution and morphology of the perovskite QDs deteriorate, resulting in a reverse redshift of the characteristic spectra (Figure S3g,h and Table S3).Furthermore, it was observed that the Mn-doped perovskite QDs did not exhibit Mn-related PL in the visible spectral region at room temperature due to the low energy of the excitonic transition [30][31][32].
In order to investigate the impact of doping on CsPbBr 3 perovskite QDs, we conducted single-dot PL spectroscopy on undoped and 4.7% Mn-doped CsPbBr 3 perovskite QDs under identical excitation conditions.The excitation condition ⟨N⟩ represents the average number of photons absorbed per QD per pulse.⟨N⟩ = σ•j exc , where j exc is the per-pulse photon fluence, and σ is the QD absorption cross section [4,33].The estimation of ⟨N⟩ and the calculation of the absorption cross section σ can be found in the Supplementary Materials.The average values of σ for the undoped CsPbBr 3 perovskite QDs and the 4.7% Mn-doped CsPbBr 3 perovskite QDs are 3.52 × 10 −14 cm 2 and 2.97 × 10 −14 cm 2 , respectively (Figure S4), which is consistent with the findings of previous research [4].Figure 2a,b illustrate the typical PL intensity trajectories for single undoped and 4.7% Mn-doped perovskite QDs under low excitation (⟨N⟩ = 0.2).The corresponding PL intensity histograms are shown in the right panels.From the figures, it can be observed that the PL intensity trajectory of the single 4.7% Mn-doped QD remains essentially unchanged as compared to that of the undoped QD.However, as the doping concentration increases, the PL trajectories of the perovskite QDs deteriorate, exhibiting a decrease in intensity and an increase in blinking (Figure S5).By applying a single exponential fit to each 10 ms time bin of the PL trajectories, fluorescence lifetime-intensity distribution (FLID) maps can be derived, which provide valuable insights into the PL properties of the QDs [34,35].Prior to and following doping, the PL intensity of single CsPbBr 3 perovskite QDs exhibits a linear correlation with their lifetimes, indicating that PL blinking in both the undoped and Mn-doped QDs is primarily dominated by band-edge carrier (BC) blinking (Figure 2c,d).This implies that the moderate amount of Mn doping did not alter the blinking mechanism of the perovskite QDs.
(Figure S4), which is consistent with the findings of previous research [4].Figure 2a,b illustrate the typical PL intensity trajectories for single undoped and 4.7% Mn-doped perovskite QDs under low excitation (⟨N⟩ = 0.2).The corresponding PL intensity histograms are shown in the right panels.From the figures, it can be observed that the PL intensity trajectory of the single 4.7% Mn-doped QD remains essentially unchanged as compared to that of the undoped QD.However, as the doping concentration increases, the PL trajectories of the perovskite QDs deteriorate, exhibiting a decrease in intensity and an increase in blinking (Figure S5).By applying a single exponential fit to each 10 ms time bin of the PL trajectories, fluorescence lifetime-intensity distribution (FLID) maps can be derived, which provide valuable insights into the PL properties of the QDs [34,35].Prior to and following doping, the PL intensity of single CsPbBr3 perovskite QDs exhibits a linear correlation with their lifetimes, indicating that PL blinking in both the undoped and Mndoped QDs is primarily dominated by band-edge carrier (BC) blinking (Figure 2c,d).This implies that the moderate amount of Mn doping did not alter the blinking mechanism of the perovskite QDs.The corresponding PL decay trajectories, extracted from the bright-and dim-state PL regions, are presented in Figure 2e,f, respectively.The decay curves can be fitted by monoexponential functions to obtain the bright-and dim-state lifetimes.The radiative lifetime scaling can be calculated based on the bright-and dim-state lifetimes and the corresponding PL intensities of the bright-and dim-state.The radiative lifetime scaling for both the undoped and 4.7% Mn-doped CsPbBr3 perovskite QDs is approximately 1.0 (details of the scaling calculations can be found in the Supplementary Materials), which further confirms The corresponding PL decay trajectories, extracted from the bright-and dim-state PL regions, are presented in Figure 2e,f, respectively.The decay curves can be fitted by mono-exponential functions to obtain the bright-and dim-state lifetimes.The radiative lifetime scaling can be calculated based on the bright-and dim-state lifetimes and the corresponding PL intensities of the bright-and dim-state.The radiative lifetime scaling for both the undoped and 4.7% Mn-doped CsPbBr 3 perovskite QDs is approximately 1.0 (details of the scaling calculations can be found in the Supplementary Materials), which further confirms that both undoped and Mn-doped perovskite QDs adhere to the BC blinking mechanism [36,37].This BC blinking behavior indicates that the blinking of the undoped and Mn-doped perovskite QDs is primarily attributed to the surface-shallow trap states.Given the analogous energy level structure of the Mn and CsPbBr 3 perovskite QDs, doping Mn² + does not introduce deep trap states and thus does not alter the carrier trapping and de-trapping rates.The corresponding second-order correlation function (g (2) ) curves depicted in Figure 2g,h show very low values of g (2) (0), well below 0.5.This observation suggests that the investigated perovskite QDs are single QDs [38] and also indicates that Mn doping does not appear to alter the photon statistical properties of the QDs., well below 0.5.This observation suggests that the investigated perovskite QDs are single QDs [38] and also indicates that Mn doping does not appear to alter the photon statistical properties of the QDs.g ) curves of the bright-state PL regions for single undoped and 4.7% Mn-doped CsPbBr3 perov- skite QDs.
In order to gain further insight into the impact of Mn doping on CsPbBr3 perovskite QDs, a statistical analysis was conducted on the single-exciton lifetimes of both single undoped and Mn-doped CsPbBr3 perovskite QDs.The single-exciton lifetime can be determined by fitting the bright state of the PL intensity trajectory.The histograms of single-exciton lifetimes are presented in Figure 3a,b, and the results were obtained from approximately 100 QDs in each case.The average lifetime value of 4.7% Mn-doped CsP-bBr3 perovskite QDs is 5.37 ns, which is larger than the average lifetime value of undoped CsPbBr3 perovskite QDs (4.93 ns).This increase in the lifetime value indicates that the doping of Mn²⁺ favors the suppression of defect recombination [29].  (2) curves of the bright-state PL regions for single undoped and 4.7% Mn-doped CsPbBr 3 perovskite QDs.
In order to gain further insight into the impact of Mn doping on CsPbBr 3 perovskite QDs, a statistical analysis was conducted on the single-exciton lifetimes of both single undoped and Mn-doped CsPbBr 3 perovskite QDs.The single-exciton lifetime can be determined by fitting the bright state of the PL intensity trajectory.The histograms of single-exciton lifetimes are presented in Figure 3a,b, and the results were obtained from approximately 100 QDs in each case.The average lifetime value of 4.7% Mn-doped CsPbBr 3 perovskite QDs is 5.37 ns, which is larger than the average lifetime value of undoped CsPbBr 3 perovskite QDs (4.93 ns).This increase in the lifetime value indicates that the doping of Mn² + favors the suppression of defect recombination [29].
Nanomaterials 2024, 14, 1284 ovskite QDs.In the case of weak excitation conditions with ⟨N⟩ = 0.2, the biexcit can be calculated using the Equation (1) [39,40]: where BX QY and X QY are the biexciton QY and the single-exciton QY, respective assumed that the single-exciton QY of the on-state PL intensity trajectory is unity fo QDs [39].According to the values of (2) ( ) 0 g , the biexciton QYs of single undop Mn-doped CsPbBr3 perovskite QDs can be obtained by Equation (1).The histogr the biexciton QYs in the two cases are presented in Figure 3c,d, respectively, a average values are calculated to be 0.06 and 0.06, respectively.This suggests th doping has a minimal impact on the biexciton QYs of perovskite QDs.
When the excitation condition ⟨N⟩ ≪ 1, the relationship of (2) ( ) 0 g to the bi and single-exciton lifetimes of a single perovskite QD can be expressed by Equa [16,40,41]: where BX τ and X τ are the biexciton and single-exciton lifetimes, respective biexciton QY can be expressed by Equation (3) [40]: where k and k represent the biexciton radiative rate and the biexciton Furthermore, we conducted a detailed investigation into the impact of doping on the biexciton quantum yields (QYs) and biexciton Auger recombination rates (k AR,BX ) in perovskite QDs.In the case of weak excitation conditions with ⟨N⟩ = 0.2, the biexciton QYs can be calculated using the Equation (1) [39,40]: where QY BX and QY X are the biexciton QY and the single-exciton QY, respectively.It is assumed that the single-exciton QY of the on-state PL intensity trajectory is unity for single QDs [39].According to the values of g (2) (0), the biexciton QYs of single undoped and Mn-doped CsPbBr 3 perovskite QDs can be obtained by Equation (1).The histograms of the biexciton QYs in the two cases are presented in Figure 3c,d, respectively, and the average values are calculated to be 0.06 and 0.06, respectively.This suggests that Mn doping has a minimal impact on the biexciton QYs of perovskite QDs.When the excitation condition ⟨N⟩ ≪ 1, the relationship of g (2) (0) to the biexciton and single-exciton lifetimes of a single perovskite QD can be expressed by Equation (2) [16,40,41]: where τ BX and τ X are the biexciton and single-exciton lifetimes, respectively.The biexciton QY can be expressed by Equation (3) [40]: where k r,BX and k AR,BX represent the biexciton radiative rate and the biexciton Auger recombination rate, respectively.According to Equations ( 2) and (3), k AR,BX can be obtained.Histograms of k AR,BX for single undoped and Mn-doped CsPbBr 3 perovskite QDs are shown in Figure 3e,f.The k AR,BX values for undoped perovskite QDs exhibit a relatively wide distribution, reflecting the non-uniform size distribution of the undoped QDs (Figure 3e).The mean value of k AR,BX is 21.65 ns −1 .In contrast, the distribution of k AR,BX of the Mn-doped perovskite QDs is more concentrated (Figure 3f).This is primarily attributed to the enhancement of their size uniformity and the significant reduction in size dispersion achieved by Mn doping.The average value of k AR,BX is 15.81 ns −1 for the Mn-doped QDs, which is smaller than that of the undoped QDs.This evidence demonstrates that the incorporation of Mn effectively mitigates the discreteness of the k AR,BX .The reduction in the k AR,BX achieved by minimizing non-radiative recombination processes leads to an increase in the radiative recombination fraction.At the same time, the reduced k AR,BX indicates that the quantum confinement on the carriers is reduced, creating favorable conditions for the overall enhancement of the LED device performance.A summary table of photophysical parameters for the Mn-doped QDs obtained in this work is presented in Table S3, and results from the other literature used for comparison are also included in Table S3.In addition, the 4.7% Mn-doped QDs met our expectations, so we did not attempt to prepare QDs with small changes in the Mn concentration.
One of the key challenges in the advancement of QD LED (QLED) technology is the relatively wide emission spectra, which affects the color purity of the emitted light from LEDs [42,43].To further validate the feasibility of Mn-doped CsPbBr 3 perovskite QDs for LED applications, we employed undoped and 4.7% Mn-doped CsPbBr 3 perovskite QDs as down-conversion phosphors.The CsPbBr 3 perovskite QDs were thoroughly mixed with a 1wt% polystyrene (PS)-toluene solution to improve the stability.The resulting mixture was then applied to a 395 nm UV chip and allowed to dry in air for one hour, resulting in the fabrication of the QLED device.As illustrated in Figure 4a,b, at a driving voltage of 3 V, the FWHM of the light emission of the QLED based on Mn-doped CsPbBr 3 perovskite QDs is 24.3 nm, which is smaller than that of the undoped QDs (31.5 nm).The green light purity of the two QLEDs is expressed in CIE coordinates as (0.26, 0.54) for the undoped perovskite QDs and (0.18, 0.62) for the 4.7% Mn-doped perovskite QDs, as shown in Figure 4c.Notably, the QLED based on the Mn-doped QDs exhibit color coordinates that are closer to the ideal green LED coordinates in the 1931 color space (0.170, 0.797) [44] and exhibit a higher degree of color purity, which highlights the great potential of doped perovskite QDs for LED fabrication.
Nanomaterials 2024, 14, 1284 8 of 11 (Figure 3e).The mean value of , AR BX k is 21.65 ns −1 .In contrast, the distribution of , AR BX k of the Mn-doped perovskite QDs is more concentrated (Figure 3f).This is primarily attributed to the enhancement of their size uniformity and the significant reduction in size dispersion achieved by Mn doping.The average value of , AR BX k is 15.81 ns −1 for the Mndoped QDs, which is smaller than that of the undoped QDs.This evidence demonstrates that the incorporation of Mn effectively mitigates the discreteness of the indicates that the quantum confinement on the carriers is reduced, creating favorable conditions for the overall enhancement of the LED device performance.A summary table of photophysical parameters for the Mn-doped QDs obtained in this work is presented in Table S3, and results from the other literature used for comparison are also included in Table S3.In addition, the 4.7% Mn-doped QDs met our expectations, so we did not attempt to prepare QDs with small changes in the Mn concentration.
One of the key challenges in the advancement of QD LED (QLED) technology is the relatively wide emission spectra, which affects the color purity of the emitted light from LEDs [42,43].To further validate the feasibility of Mn-doped CsPbBr3 perovskite QDs for LED applications, we employed undoped and 4.7% Mn-doped CsPbBr3 perovskite QDs as down-conversion phosphors.The CsPbBr3 perovskite QDs were thoroughly mixed with a 1wt% polystyrene (PS)-toluene solution to improve the stability.The resulting mixture was then applied to a 395 nm UV chip and allowed to dry in air for one hour, resulting in the fabrication of the QLED device.As illustrated in Figure 4a,b, at a driving voltage of 3 V, the FWHM of the light emission of the QLED based on Mn-doped CsPbBr3 perovskite QDs is 24.3 nm, which is smaller than that of the undoped QDs (31.5 nm).The green light purity of the two QLEDs is expressed in CIE coordinates as (0.26, 0.54) for the undoped perovskite QDs and (0.18, 0.62) for the 4.7% Mn-doped perovskite QDs, as shown in Fig- ure 4c.Notably, the QLED based on the Mn-doped QDs exhibit color coordinates that are closer to the ideal green LED coordinates in the 1931 color space (0.170, 0.797) [44] and exhibit a higher degree of color purity, which highlights the great potential of doped perovskite QDs for LED fabrication.

Conclusions
Mn-doped CsPbBr3 perovskite QDs were successfully prepared by introducing an appropriate amount of Mn²⁺ into the QDs.The study demonstrates that Mn doping significantly increases the defect formation energy, which promotes the formation of nearly uniform local structural order in the perovskite QDs, leading to improved size uniformity

Conclusions
Mn-doped CsPbBr 3 perovskite QDs were successfully prepared by introducing an appropriate amount of Mn² + into the QDs.The study demonstrates that Mn doping significantly increases the defect formation energy, which promotes the formation of nearly uniform local structural order in the perovskite QDs, leading to improved size uniformity and monodispersity.The FWHM of the size distribution of the perovskite QDs was reduced from 2 nm to 1.2 nm, with a 30.3% reduction in the PL emission linewidth as compared to the undoped QDs, indicating a more homogeneous energy distribution and improved optical properties.The study reveals that the optimal doping effect is achieved when the Mn doping concentration of perovskite QDs is set at 4.7% among four different doping concentrations.This doping process does not result in the introduction of deep trap states within the band gap and instead improves the size uniformity.Furthermore, the improvement in PL properties is evidenced by the narrowing of the spectral linewidths, the increase in PL lifetime, and the reduction in the Auger recombination rate.Additionally, a 23% reduction in linewidth was observed for the 4.7% doped QLEDs, with a CIE color coordinate of (0.18, 0.62) that is closer to the ideal coordinates for green LEDs, further demonstrating their potential for LED applications.This work offers an effective strategy for enhancing the color purity of perovskite QD-based LEDs.

Supplementary Materials:
The following supporting information can be downloaded at https://www.mdpi.com/article/10.3390/nano14151284/s1:Estimation of ⟨N⟩ and calculation of the absorption cross section; BC blinking determined by radiative lifetime scaling; Figure S1: excitation spectra of PL for undoped and 4.7% Mn-doped perovskite CsPbBr3 QDs; Figure S2: X-ray diffraction (XRD) patterns of perovskite QDs with different Mn doping concentrations; Figure S3: morphological and structural characterizations of undoped and Mn-doped CsPbBr3 perovskite QDs with various doping concentrations; Figure S4: histograms of the absorption cross sections (σ) of undoped and 4.7% Mn-doped CsPbBr3 perovskite QDs; Figure S5: typical PL intensity time trajectory for single CsPbBr3 perovskite QDs with different doping concentrations; Table S1: mass and molar ratios of PbBr2, MnBr2 and ZnBr2 at different doping concentrations; Table S2: quantitative elemental scanning ICP-OES analysis of Mn-doped CsPbBr3 QDs under different doping concentrations; and Table S3: a summary table of photophysical parameters for the Mn-doped QDs obtained in this work and results from other literature used for comparison.References [45][46][47] are cited in the Supplementary Materials.

Figure 1 .
Figure 1.Morphological, spectral, and structural characterization of undoped and 4.7% Mn-doped CsPbBr3 perovskite quantum dots (QDs).(a,b) Transmission electron microscopy (TEM) images of undoped and Mn-doped CsPbBr3 perovskite QDs.(c,d) Histograms depicting the distribution of edge lengths for undoped and Mn-doped perovskite QDs.(e) Absorption and PL emission spectra of undoped and Mn-doped perovskite QDs, demonstrating that Mn-doped perovskite QDs exhibit a narrower linewidth.(f) X-ray diffraction (XRD) patterns of perovskite QDs with different Mn doping concentrations, demonstrating the preservation of the cubic phase upon Mn doping.(g) A magnified view shows a subtle but monotonic shift in the XRD peak toward higher 2θ angles, indicating a progressive contraction of the lattice with Mn doping.

Figure 1 .
Figure 1.Morphological, spectral, and structural characterization of undoped and 4.7% Mn-doped CsPbBr 3 perovskite quantum dots (QDs).(a,b) Transmission electron microscopy (TEM) images of undoped and Mn-doped CsPbBr 3 perovskite QDs.(c,d) Histograms depicting the distribution of edge lengths for undoped and Mn-doped perovskite QDs.(e) Absorption and PL emission spectra of undoped and Mn-doped perovskite QDs, demonstrating that Mn-doped perovskite QDs exhibit a narrower linewidth.(f) X-ray diffraction (XRD) patterns of perovskite QDs with different Mn doping concentrations, demonstrating the preservation of the cubic phase upon Mn doping.(g) A magnified view shows a subtle but monotonic shift in the XRD peak toward higher 2θ angles, indicating a progressive contraction of the lattice with Mn doping.
structure of the Mn and CsPbBr3 perovskite QDs, doping Mn²⁺ does not introduce deep trap states and thus does not alter the carrier trapping and detrapping rates.The corresponding second-order correlation function (( 2)  g ) curves depicted in Figure2g,h show very low values of (2) ( ) 0 g

Figure 2 .
Figure 2. (a,b) Typical PL intensity time trajectories for single undoped and 4.7% Mn-doped CsPbBr3 perovskite QDs.The corresponding PL intensity histograms are presented in the right panels.(c,d) Corresponding fluorescence lifetime-intensity distribution (FLID) maps.The color change from blue to red indicates an increase in the probability of occurrence of a given state in the intensitylifetime space.(e,f) Corresponding PL decay trajectories obtained from the bright-and dim-state PL regions marked in respective colors on the PL intensity trajectories of (a,b).The solid red and blue lines represent mono-exponential fits, and the solid yellow lines in the figures represent the instrument response function (IRF) of the system.(g,h) Corresponding second-order correlation function ((2)

Figure 2 .
Figure 2. (a,b) Typical PL intensity time trajectories for single undoped and 4.7% Mn-doped CsPbBr 3 perovskite QDs.The corresponding PL intensity histograms are presented in the right panels.(c,d) Corresponding fluorescence lifetime-intensity distribution (FLID) maps.The color change from blue to red indicates an increase in the probability of occurrence of a given state in the intensitylifetime space.(e,f) Corresponding PL decay trajectories obtained from the bright-and dim-state PL regions marked in respective colors on the PL intensity trajectories of (a,b).The solid red and blue lines represent mono-exponential fits, and the solid yellow lines in the figures represent the instrument response function (IRF) of the system.(g,h) Corresponding second-order correlation function (g(2) ) curves of the bright-state PL regions for single undoped and 4.7% Mn-doped CsPbBr 3 perovskite QDs.
non-radiative recombination processes leads to an increase in the radiative recombination fraction.At the same time, the reduced , AR BX k